Journal Article

Kriging and splines with derivative information

K. V. MARDIA, J. T. KENT, C. R. GOODALL and J. A. LITTLE

in Biometrika

Published on behalf of Biometrika Trust

Volume 83, issue 1, pages 207-221
Published in print March 1996 | ISSN: 0006-3444
Published online March 1996 | e-ISSN: 1464-3510 | DOI: https://dx.doi.org/10.1093/biomet/83.1.207
Kriging and splines with derivative information

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Spline fitting is a popular method of interpolating a real-valued function given its values at a set of points in Rd. Other linear constraints such as derivative information can also be incorporated as we show here. Spline fitting is well known to be a special case of kriging. Using the kriging framework we give a full description of the theory including algorithms for computation, and various special cases are discussed. An application is given to the construction of deformations with landmark, tangent and curvature constraints.

Keywords: Conditionally positive definite function; Deformation; Derivative process; Intrinsic process; Object recognition; Radial basis function; Self-similarity; Thin-plate spline

Journal Article.  0 words. 

Subjects: Probability and Statistics

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